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Finding the Fourth Proportional to 227,547.75, 314,016.03 and 126,945.75

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Solution

The fourth proportional to 227,547.75, 314,016.03 and 126,945.75 is: 175,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,547.75 : 314,016.03 = 126,945.75 : x
  2. Step 2: Convert to fraction form
    227,547.75/314,016.03 = 126,945.75/x
  3. Step 3: Cross multiply
    227,547.75x = 314,016.03 × 126,945.75
  4. Step 4: Simplify right side
    227,547.75x = 39,863,000,440.37
  5. Step 5: Solve for x
    x = 39,863,000,440.37/227,547.75
  6. Step 6: Final answer
    x = 175,185.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.